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Finding the Fourth Proportional to 22,740.98, 34,116.74 and 7,158.20

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Solution

The fourth proportional to 22,740.98, 34,116.74 and 7,158.20 is: 10,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,740.98 : 34,116.74 = 7,158.20 : x
  2. Step 2: Convert to fraction form
    22,740.98/34,116.74 = 7,158.20/x
  3. Step 3: Cross multiply
    22,740.98x = 34,116.74 × 7,158.20
  4. Step 4: Simplify right side
    22,740.98x = 244,214,241.89
  5. Step 5: Solve for x
    x = 244,214,241.89/22,740.98
  6. Step 6: Final answer
    x = 10,738.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.